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Finding the Fourth Proportional to 3,142.80, 4,713.92 and 1,294.16

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Solution

The fourth proportional to 3,142.80, 4,713.92 and 1,294.16 is: 1,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.80 : 4,713.92 = 1,294.16 : x
  2. Step 2: Convert to fraction form
    3,142.80/4,713.92 = 1,294.16/x
  3. Step 3: Cross multiply
    3,142.80x = 4,713.92 × 1,294.16
  4. Step 4: Simplify right side
    3,142.80x = 6,100,566.71
  5. Step 5: Solve for x
    x = 6,100,566.71/3,142.80
  6. Step 6: Final answer
    x = 1,941.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.